13013333120 has 128 divisors (see below), whose sum is σ = 31708160640. Its totient is φ = 5106253824.

The previous prime is 13013333119. The next prime is 13013333131. The reversal of 13013333120 is 2133331031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13013333092 and 13013333101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7448087 + ... + 7449833.

It is an arithmetic number, because the mean of its divisors is an integer number (247720005).

Almost surely, 2^13013333120 is an apocalyptic number.

13013333120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13013333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15854080320).

13013333120 is an abundant number, since it is smaller than the sum of its proper divisors (18694827520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13013333120 is a wasteful number, since it uses less digits than its factorization.

13013333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13013333120 its reverse (2133331031), we get a palindrome (15146664151).

The spelling of 13013333120 in words is "thirteen billion, thirteen million, three hundred thirty-three thousand, one hundred twenty".